Hamilton-Jacobi equation, heteroclinic chains and Arnol'd diffusion in three time scale systems

Nonlinearity

Volumn 13, Issue 2, 2000, Pages 323-340

  Gallavotti, G ^a   Gentile, G ^a   Mastropietro, V ^a  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040807764     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/13/2/301     Document Type: Article

References (20)

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2. Chierchia L and Gallavotti G 1994 Drift and diffusion in phase space Ann. Inst. H Poincaré B 60 1-144 See also Chierchia L and Gallavotti G 1998 Ann. Inst. H Poincaré B 68 135 (erratum)
3. Chierchia L and Gallavotti G 1994 Drift and diffusion in phase space Ann. Inst. H Poincaré B 60 1-144 See also Chierchia L and Gallavotti G 1998 Ann. Inst. H Poincaré B 68 135 (erratum)
4. Chierchia L and Valdinoci E 1999 Forum Mathematicum at press (Chierchia L and Valdinoci E 1998 A note on the construction of Hamiltonian trajectories along heteroclinic chain Preprint mp_arc, 98-660)
5. Chierchia L and Valdinoci E 1999 Forum Mathematicum at press (Chierchia L and Valdinoci E 1998 A note on the construction of Hamiltonian trajectories along heteroclinic chain Preprint mp_arc, 98-660)
6. Eliasson LH 1996 Absolutely convergent series expansions for quasi-periodic motions Math. Phys. Electron. J. 2 (http://mpej.unige.ch)
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8. Gallavotti G 1999 Rend. Seminario Matem. Torino 55 291-302 (Gallavotti G 1997 Hamilton-Jacobi's equation and Arnold's diffusion near invariant tori in a priori unstable isochronous systems Preprint mp_arc@math.utexas.edu #97-555)
9. Gallavotti G 1999 Rend. Seminario Matem. Torino 55 291-302 (Gallavotti G 1997 Hamilton-Jacobi's equation and Arnold's diffusion near invariant tori in a priori unstable isochronous systems Preprint mp_arc@math.utexas.edu #97-555)
10. Gallavotti G 1994 Twistless KAM tori, quasi flat homoclinic intersections and other cancellations in the perturbation series of certain completely integrable Hamiltonian systems. A review Rev. Math. Phys. 6 343-411
11. Gallavotti G 1994 Twistless KAM tori Commun. Math. Phys. 164 145-56
12. Gallavotti G, Gentile G and Mastropietro V 1999 Separatrix splitting for systems with three degrees of freedom Commun. Math. Phys. 202 89-126
13. Gallavotti G, Gentile G and Mastropietro V 1999 J. Math. Phys. at press (Gallavotti G, Gentile G and Mastropietro V 1998 Lindstedt series and existence of heteroclinic chains in Hamiltonian three time scales systems Preprint chao-dyn/9812004)
14. Gallavotti G, Gentile G and Mastropietro V 1999 J. Math. Phys. at press (Gallavotti G, Gentile G and Mastropietro V 1998 Lindstedt series and existence of heteroclinic chains in Hamiltonian three time scales systems Preprint chao-dyn/9812004)
15. Gentile G 1995 A proof of existence of whiskered tori with quasi flat homoclinic intersections in a class of almcst integrable Hamiltonians systems Forum Mathematician 7 709-53
16. Gentile G 1995 Whiskered tori with prefixed frequencies and Lyapunov spectrum Dynam. Stab. Syst. 10 269-308
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19. Perfetti P 1999 Preprint Perfetti P 1998 Fixed point theorems in the Arnol'd model about instability of the action-variables in phase space Discrete Continuous Dynam. Syst. 4 2
20. Perfetti P 1999 Preprint Perfetti P 1998 Fixed point theorems in the Arnol'd model about instability of the action-variables in phase space Discrete Continuous Dynam. Syst. 4 2